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Finding the Fourth Proportional to 54,712, 82,079.68 and 17,283.04

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Solution

The fourth proportional to 54,712, 82,079.68 and 17,283.04 is: 25,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,712 : 82,079.68 = 17,283.04 : x
  2. Step 2: Convert to fraction form
    54,712/82,079.68 = 17,283.04/x
  3. Step 3: Cross multiply
    54,712x = 82,079.68 × 17,283.04
  4. Step 4: Simplify right side
    54,712x = 1,418,586,392.63
  5. Step 5: Solve for x
    x = 1,418,586,392.63/54,712
  6. Step 6: Final answer
    x = 25,928.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.